the length l cm of a simple pendulum is directly proportional to the square of its period (time taken to complete one oscillation ),T seconds. A pendulunm with a length of 220.5cm has a period of 3s find the equation connecting l and t

L = kT^2

Now plug in your numbers

wth is this even an answer

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Very well

To find the equation connecting the length of the simple pendulum (l) and its period (T), we can use the proportional relationship given: "the length (l) is directly proportional to the square of the period (T)."

Let's denote the constant of proportionality as k. According to the given information, we have:

l ∝ T^2

We can rewrite this proportionality as an equation by introducing the constant of proportionality:

l = k * T^2

To find the value of k, we can substitute the given values into the equation. We know that when l = 220.5 cm, T = 3 s. Substituting these values:

220.5 = k * 3^2

Simplifying the equation:

220.5 = k * 9

Now we can solve for k by dividing both sides by 9:

k = 220.5 / 9

k = 24.5

Therefore, the equation connecting the length of the simple pendulum (l) and its period (T) is:

l = 24.5T^2